Write the primes in binary; a(n) = total number of 0's in those which have an n-bit expansion.

Terms

a(0) =1a(1) =1a(2) =2a(3) =7a(4) =13a(5) =35a(6) =71a(7) =147a(8) =298a(9) =622a(10) =1270a(11) =2558a(12) =5257a(13) =10509a(14) =21297a(15) =42852a(16) =86258a(17) =173528a(18) =348187a(19) =699590a(20) =1404936a(21) =2818606a(22) =5657411a(23) =11345622a(24) =22746823a(25) =45605127a(26) =91421299a(27) =183206338a(28) =367111951a(29) =735525895